864024 has 64 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 238464.

The previous prime is 864013. The next prime is 864029. The reversal of 864024 is 420468.

864024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 863985 and 864003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864024.

It is not an unprimeable number, because it can be changed into a prime (864029) by changing a digit.

864024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6147 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁸⁶⁴⁰²⁴ is an apocalyptic number.

864024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

864024 is an abundant number, since it is smaller than the sum of its proper divisors (1689576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864024 is a wasteful number, since it uses less digits than its factorization.

864024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 864024 is about 929.5289129446. The cubic root of 864024 is about 95.2449449994.

Subtracting from 864024 its reverse (420468), we obtain a square (443556 = 666²).

The spelling of 864024 in words is "eight hundred sixty-four thousand, twenty-four".